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If A and B are two square matrices such that $B = - A^{- 1} B A t h e n {(A + B)}^{2} =$

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Correct option is B

B=A−1BA⇒AB=−AA−1BA =−BA(A+B)2=(A+B)(A+B) =A(A+B)+B(A+B)=A2+AB+BA+B2=A2+B2

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If A and B are two square matrices such that B=−A−1BA then A+B2=

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Ready to Test Your Skills?

free study material

If A and B are two square matrices such that $B = - A^{- 1} B A t h e n {(A + B)}^{2} =$